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Finding the Third Proportional to 908,532,739 and 1,972,122,730.25

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Solution

The third proportional to 908,532,739 and 1,972,122,730.25 is: 4,280,823,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,532,739 : 1,972,122,730.25 = 1,972,122,730.25 : x
  2. Step 2: Convert to fraction form
    908,532,739/1,972,122,730.25 = 1,972,122,730.25/x
  3. Step 3: Cross multiply
    908,532,739x = 1,972,122,730.25 × 1,972,122,730.25
  4. Step 4: Simplify right side
    908,532,739x = 3,889,268,063,168,714,240
  5. Step 5: Solve for x
    x = 3,889,268,063,168,714,240/908,532,739
  6. Step 6: Final answer
    x = 4,280,823,239.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.